Results 1 to 10 of about 36 (36)
On the compactness and the essential norm of operators defined by infinite tridiagonal matrices
Concrete Operators, 2023 In this article, all sequences u{\boldsymbol{u}}, v{\boldsymbol{v}}, and w{\boldsymbol{w}} that define continuous and compact tridiagonal operators Tu,v,w{T}_{u,v,w} acting on the weighted sequence space lβ2{l}_{\beta }^{2} were characterized ...
Caicedo Alexander +2 more
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Domination and Kwapień’s factorization theorems for positive Cohen p–nuclear m–linear operators
Moroccan Journal of Pure and Applied Analysis, 2021 In this paper, we introduce and study the concept of positive Cohen p-nuclear multilinear operators between Banach lattice spaces. We prove a natural analog to the Pietsch domination theorem for this class.
Bougoutaia Amar +2 more
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Bu’s theorem in the positive situation
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper, we valorize the relationship between positive p−summing operators and positive strongly q−summing operators using (Contemp. Math. 328, 145 − 149 (2003)).
Bougoutaia Amar, Belacel Amar
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The lattice‐isometric copies of ℓ∞(Γ) in quotients of Banach lattices
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 47, Page 3003-3006, 2003., 2003 Let E be a Banach lattice and let M be a norm‐closed and Dedekind σ‐complete ideal of E. If E contains a lattice‐isometric copy of ℓ∞, then E/M contains such a copy as well, or M contains a lattice copy of ℓ∞. This is one of the consequences of more general results presented in this paper.
Marek Wójtowicz
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About interpolation of subspaces of rearrangement invariant spaces generated by Rademacher system
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 7, Page 451-465, 2001., 2001 The Rademacher series in rearrangement invariant function spaces “close” to the space L∞ are considered. In terms of interpolation theory of operators, a correspondence between such spaces and spaces of coefficients generated by them is stated. It is proved that this correspondence is one‐to‐one. Some examples and applications are presented.
Sergey V. Astashkin
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The essential norm of bounded diagonal infinite matrices acting on Banach sequence spaces
Demonstratio MathematicaWe calculate the essential norm of bounded diagonal infinite matrices acting on Köthe sequence spaces. As a consequence of our result, we obtain a recent criteria for the compactness of multiplication operator acting on Köthe sequence spaces.
Fernández Julio C. Ramos +2 more
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Some results on disjointly weakly compact sets
Demonstratio MathematicaWe give an operator characterization of disjointly weakly compact sets and show that disjointly weakly compact sets coincide with reciprocal Dunford-Pettis sets.
Akay Barış, Gök Ömer
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The class of Banach lattices is not primary
Forum of Mathematics, SigmaBuilding on a recent construction of Plebanek and Salguero-Alarcón, which solved the Complemented Subspace Problem for $C(K)$ -spaces, and the subsequent work of De Hevia, Martínez-Cervantes, Salguero-Alarcón, and Tradacete solving the Complemented
Antonio Acuaviva
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Open MathematicsIn this article, we provide a comprehensive study on the continuity and essential norm of an operator defined by an infinite tridiagonal matrix, specifically when it operates from a weighted Orlicz sequence space or a weighted l∞{l}^{\infty } space into ...
Ramos-Fernández Julio C. +2 more
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Open MathematicsWe define the weighted Orlicz-Lorentz-Morrey and weak weighted Orlicz-Lorentz-Morrey spaces to generalize the Orlicz spaces, the weighted Lorentz spaces, the Orlicz-Lorentz spaces, and the Orlicz-Morrey spaces.
Li Hongliang
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